There are a number of ways to get around The Strip: walking, taxi, monorail, and the Deuce. We've done them all but the favorite is the Deuce.
Walking in the heat = blisters and heat exhaustion (not to mention lots of aggravation from the uncountable numbers of unsavory characters hawking their mothers, sisters, and girl-cousins who, if you believe the advertising... are more than willing to sell their affection).
Taxi = convenient and comfortable, but expensive.
Monorail = fun but not really all that close to the attractions on the strip (see "Walking in the heat", above).
Deuce = conveniently located right on the strip, lots of stops at all of the casino/hotel's... and affordable. Probably the best bargain for transportation in LV. Conveniently located stops that are clearly marked. Easy ticket buying (machines or on-board). Frequent schedule (varies but is between every 10 to 15 minutes). Drivers were courteous and helpful. Extremely clean and air conditioned. Sometimes the bus got crowed. Wait time at stops varies depending on number of riders exiting and entering. Might not be the best option if one is on a tight schedule, but when touring and in no rush it is comfortable and convenient!